因式分解5x²-15x+2xy-6y

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因式分解5x²-15x+2xy-6y

因式分解5x²-15x+2xy-6y
因式分解5x²-15x+2xy-6y

因式分解5x²-15x+2xy-6y
5x²-15x+2xy-6y
=5x(x-3)+2y(x-3)
=(x-3)(5x+2y)

5x²-15x+2xy-6y
=(5x^2-15x)-(2xy-6y)
=5x(x-3)-2y(x-3)
=(x-3)(5x-2y)

5x²-15x+2xy-6y
=5x(x-3)+2y(x-3)
=(x-3)(5x+2y)

原式=(5x²+2xy)-(15x+6y)
=x(5x+2y)-3(5x+2y)
=(5x+2y)(x-3)